Elliptic curve data - 29232.e1

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• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  abc_quality	double precision
  absD	numeric
  adelic_genus	integer
  adelic_index	integer
  adelic_level	bigint
  ainvs	numeric[]
  analytic_rank	smallint
  bad_primes	integer[]
  class_deg	smallint
  class_size	smallint
  cm	smallint
  conductor	integer
  degree	bigint
  elladic_images	text[]
  faltings_height	numeric
  faltings_index	smallint
  faltings_ratio	smallint
  iso_nlabel	smallint
  isogeny_degrees	smallint[]
  jinv	numeric[]
  lmfdb_iso	text
  lmfdb_label	text
  lmfdb_number	smallint
  manin_constant	smallint
  min_quad_twist_ainvs	numeric[]
  min_quad_twist_disc	smallint
  modell_images	text[]
  modm_images	text[]
  nonmax_primes	smallint[]
  nonmax_rad	integer
  num_bad_primes	smallint
  num_int_pts	integer
  optimality	smallint
  potential_good_reduction	boolean
  rank	smallint
  regulator	numeric
  semistable	boolean
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '29232bf', 'Clabel': '29232bf2', 'Cnumber': 2, 'abc_quality': 1.0027688902728733, 'absD': 6261895844707958784, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 812, 'ainvs': [0, 0, 0, -5651211, -5169429830], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 29], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 29232, 'degree': 737280, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5825137471566604436153772817', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2], 'jinv': [6684374974140996553, 2097096248576], 'lmfdb_iso': '29232.e', 'lmfdb_label': '29232.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -39244, -3007920], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '28.6.0.c.1', '58.6.0.a.1', '812.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3400604222626602885005225418', 'prec': 100}, 'szpiro_ratio': 5.665237291072301, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
• ec_classdata •

  Column	Type
  anlist	smallint[]
  aplist	smallint[]
  class_deg	smallint
  class_size	smallint
  conductor	integer
  isogeny_matrix	smallint[]
  lmfdb_iso	text
  trace_hash	bigint

  
  {'anlist': [0, 1, 0, 0, 0, -2, 0, -1, 0, 0, 0, 4, 0, -2, 0, 0, 0, 4, 0, -2, 0], 'aplist': [0, 0, -2, -1, 4, -2, 4, -2, 0, 1, 2, 2, -8, 8, 6, -6, -4, 4, 4, 8, -12, 12, 0, -4, 4], 'class_deg': 2, 'class_size': 2, 'conductor': 29232, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '29232.e', 'trace_hash': 34482694558177880}
• ec_mwbsd •

  Column	Type
  area	numeric
  conductor	integer
  gens	numeric[]
  heights	numeric[]
  lmfdb_label	text
  ngens	smallint
  rank_bounds	smallint[]
  real_period	numeric
  sha_an	numeric
  special_value	numeric
  tamagawa_product	integer
  torsion_generators	numeric[]
  xcoord_integral_points	numeric[]

  
  {'area': {'__RealLiteral__': 0, 'data': '0.0057129057644222547992315922245', 'prec': 110}, 'conductor': 29232, 'gens': [], 'heights': [], 'lmfdb_label': '29232.e1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.097920213265631926102701515792', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.5667234122501108176432242526655377689', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-1354, 0, 1]], 'xcoord_integral_points': [-1354]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '7': [0, 0], '29': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '29232.e1'}
• ec_torsion_growth •

  Column	Type
  degree	smallint
  field	numeric[]
  lmfdb_label	text
  torsion	smallint[]

  
  
  • id: 1464241
    {'degree': 2, 'field': [-7, -1, 1], 'lmfdb_label': '29232.e1', 'torsion': [2, 2]}
  • id: 1464242
    {'degree': 4, 'field': [16, 1, 0, -2, 1], 'lmfdb_label': '29232.e1', 'torsion': [4]}
  • id: 1464245
    {'degree': 8, 'field': [-12, 0, 0, 0, -12, 0, 5, 0, 1], 'lmfdb_label': '29232.e1', 'torsion': [6]}
  • id: 1464244
    {'degree': 8, 'field': [196, 294, 175, 140, 44, -20, 0, -2, 1], 'lmfdb_label': '29232.e1', 'torsion': [2, 4]}
  • id: 1464243
    {'degree': 8, 'field': [19600, 0, -26768, 0, 1304, 0, -52, 0, 1], 'lmfdb_label': '29232.e1', 'torsion': [2, 4]}
  • id: 1464247
    {'degree': 16, 'field': [11867729, 15581110, -8913150, -11814886, 2301396, 3793512, -423588, -626654, 46017, 63208, -2724, -4614, 132, 266, -18, -8, 1], 'lmfdb_label': '29232.e1', 'torsion': [2, 6]}
  • id: 1464246
    {'degree': 16, 'field': [2897022976, 0, -1489094784, 0, 381585248, 0, -48988250, 0, 2900841, 0, -61190, 0, 2907, 0, -2, 0, 1], 'lmfdb_label': '29232.e1', 'torsion': [8]}
• ec_localdata •

  Column	Type
  conductor	integer
  conductor_valuation	smallint
  discriminant_valuation	smallint
  j_denominator_valuation	smallint
  kodaira_symbol	smallint
  lmfdb_label	text
  prime	integer
  reduction_type	smallint
  root_number	smallint
  tamagawa_number	smallint

  
  
  • id: 679489
    {'conductor': 29232, 'conductor_valuation': 4, 'discriminant_valuation': 20, 'j_denominator_valuation': 8, 'kodaira_symbol': -16, 'lmfdb_label': '29232.e1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 679490
    {'conductor': 29232, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '29232.e1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 679491
    {'conductor': 29232, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '29232.e1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 679492
    {'conductor': 29232, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '29232.e1', 'prime': 29, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1859433
    {'adelic_gens': [[205, 610, 608, 203], [1, 2, 2, 5], [1, 4, 0, 1], [758, 1, 27, 0], [1, 0, 4, 1], [465, 4, 118, 9], [3, 4, 8, 11], [809, 4, 808, 5]], 'adelic_image': '812.12.0.?', 'conductor': 29232, 'lmfdb_label': '29232.e1', 'prime': 0}
  • id: 131961
    {'conductor': 29232, 'elladic_image': '2.3.0.1', 'lmfdb_label': '29232.e1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 29232.e does not appear in ec_padic